Answer:
w=4.9
Step-by-step explanation:
If you are solving for w, you want to isolate the variable. If it is easier to write it out, it would look something like this..
-5 x w = -24.5
To get w by itself, use the inverse of multiplication, which is division. Divide the expression to the left of the equal sign by -5. Remember, what you do to one side, you must do to the other. When you divide -24.5 by -5, you end up with
w=4.9
The correct equation which represents the graph is y = log (2x) + 3. Then the correct option is B.
<h3>What is a function?</h3>
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The equations are given below.
The graph of the function y = 2ˣ + 3 approaches zero when the value of x goes to negative infinity.
The graph of the function y = log (2x) + 3 approaches the negative infinity when the value of x approaches zero.
The graph of the function y = 2x² + 2 is parabolic in nature.
Then the correct equation which represents the graph is y = log (2x) + 3.
More about the function link is given below.
brainly.com/question/5245372
#SPJ1
3,628,800 ways can they arrange themselves in the shuttle, If 10 friends are going to occupy 10 seats in shuttle on the way to the airport.
Step-by-step explanation:
The given is,
10 friends are going to occupy 10 seats in shuttle on the way to the airport
Step:1
No. of friends - 10
No.of seats in space shuttle - 10
Formula to calculate the no. of ways to arrange,
............................(1)
Where, n - Positive integer
Step:2
From given, n = 10
Equation (1) becomes,

= 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 3628800
= 3628800 ways
Result:
3,628,800 ways can they arrange themselves in the shuttle, If 10 friends are going to occupy 10 seats in shuttle on the way to the airport.
The average rate of change for the function f(x) can be calculated from the following equation

By applying the last formula on the given equations
(1) the first function f
from the table f(3π/2) = -2 and f(2π) = 0
∴ The average rate of f =

(2) the second function g(x)
from the graph g(3π/2) = -2 and g(2π) = 0
∴ The average rate of g =

(3) the third function h(x) = 6 sin x +1
∴ h(3π/2) = 6 sin (3π/2) + 1 = 6 *(-1) + 1 = -5
h(2π) = 6 sin (2π) + 1 = 6 * 0 + 1 = 1
∴ The average rate of h =
By comparing the results, The <span>function which has the greatest rate of change is h(x)
</span>
So, the correct answer is option <span>
C) h(x)</span>